Base | Representation |
---|---|

bin | 1101011111000… |

… | …10000000100001 |

3 | 21212212021002010 |

4 | 12233202000201 |

5 | 212424421421 |

6 | 15120343133 |

7 | 2542350501 |

oct | 657420041 |

9 | 255767063 |

10 | 113123361 |

11 | 5894528a |

12 | 31a74aa9 |

13 | 1a589c00 |

14 | 11049a01 |

15 | 9de8076 |

hex | 6be2021 |

113123361 has 48 divisors (see below), whose sum is σ = 173923200. Its totient is φ = 65235456.

The previous prime is 113123327. The next prime is 113123369. The reversal of 113123361 is 163321311.

Adding to 113123361 its reverse (163321311), we get a palindrome (276444672).

113123361 is a nontrivial binomial coefficient, being equal to C(15042, 2).

It is not a de Polignac number, because 113123361 - 2^{7} = 113123233 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113123369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037775 + ... + 1037883.

It is an arithmetic number, because the mean of its divisors is an integer number (3623400).

Almost surely, 2^{113123361} is an apocalyptic number.

113123361 is the 15041-st triangular number, the 7521-st hexagonal number and also the 6141-st octagonal number.

It is an amenable number.

113123361 is a deficient number, since it is larger than the sum of its proper divisors (60799839).

113123361 is a wasteful number, since it uses less digits than its factorization.

113123361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 113123361 is about 10635.9466433412. The cubic root of 113123361 is about 483.6346778231.

The spelling of 113123361 in words is "one hundred thirteen million, one hundred twenty-three thousand, three hundred sixty-one".

Divisors: 1 3 13 23 39 69 89 109 169 267 299 327 507 897 1157 1417 2047 2507 3471 3887 4251 6141 7521 9701 11661 15041 18421 26611 29103 32591 45123 55263 79833 97773 126113 223123 345943 378339 423683 669369 1037829 1271049 1639469 2900599 4918407 8701797 37707787 113123361

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